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Mojżesz David Kirszbraun
Mojżesz David Kirszbraun (1903–1942)Mojżesz Kirszbraun', Holocaust Survivors and Victims Database. was a Polish mathematician, mostly known for the Kirszbraun theorem on extensions of Lipschitz maps. This theorem appears in his master's thesis, defended in Warsaw in 1930. Kirszbraun finished school in 1922. Together with his classmate Adolf Lindenbaum, he continued his studies in Warsaw University. Later, he worked as an actuary in an insurance company. He died in a ghetto in 1942. Publications * References An entryabout Kirszbraun written by Edward Marczewski, Polski słownik biograficzny ''Polski Słownik Biograficzny'' (''PSB''; Polish Biographical Dictionary) is a Polish-language biographical dictionary, comprising an alphabetically arranged compilation of authoritative biographies of some 25,000 notable Poles and of foreigner ..., Tom XII, p. 486 20th-century Polish mathematicians Polish Jews who died in the Holocaust 1942 deaths 1903 births ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Warsaw
Warsaw, officially the Capital City of Warsaw, is the capital and List of cities and towns in Poland, largest city of Poland. The metropolis stands on the Vistula, River Vistula in east-central Poland. Its population is officially estimated at 1.86 million residents within a Warsaw metropolitan area, greater metropolitan area of 3.27 million residents, which makes Warsaw the List of cities in the European Union by population within city limits, 6th most-populous city in the European Union. The city area measures and comprises List of districts and neighbourhoods of Warsaw, 18 districts, while the metropolitan area covers . Warsaw is classified as an Globalization and World Cities Research Network#Alpha 2, alpha global city, a major political, economic and cultural hub, and the country's seat of government. It is also the capital of the Masovian Voivodeship. Warsaw traces its origins to a small fishing town in Masovia. The city rose to prominence in the late 16th cent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Warsaw Ghetto
The Warsaw Ghetto (, officially , ; ) was the largest of the Nazi ghettos during World War II and the Holocaust. It was established in November 1940 by the Nazi Germany, German authorities within the new General Government territory of Occupation of Poland (1939–1945), occupied Poland. At its height, as many as 460,000 Jews were imprisoned there, in an area of , with an average of 9.2 persons per room, barely subsisting on meager food rations. Jews were deported from the Warsaw Ghetto to Nazi concentration camps and mass-killing centers. In the summer of 1942, at least 254,000 ghetto residents were sent to the Treblinka extermination camp during under the guise of "resettlement in the East" over the course of the summer. The ghetto was demolished by the Germans in May 1943 after the Warsaw Ghetto Uprising had temporarily halted the deportations. The total death toll among the prisoners of the ghetto is estimated to be at least 300,000 killed by bullet or gas, combined with 92 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Warsaw
The University of Warsaw (, ) is a public university, public research university in Warsaw, Poland. Established on November 19, 1816, it is the largest institution of higher learning in the country, offering 37 different fields of study as well as 100 specializations in humanities, Engineering, technical, and natural sciences. The University of Warsaw consists of 126 buildings and educational complexes with over 18 faculties: biology, chemistry, medicine, journalism, political science, philosophy, sociology, physics, geography, regional studies, geology, history, applied linguistics, philology, Polish language, pedagogy, economics, law, public administration, psychology, applied social sciences, management, mathematics, computer science, and mechanics. Among the university's notable alumni are heads of state, prime ministers, Nobel Prize laureates, including Joseph Rotblat, Sir Joseph Rotblat and Olga Tokarczuk, as well as several historically important individuals in their res ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kirszbraun Theorem
In mathematics, specifically real analysis and functional analysis, the Kirszbraun theorem states that if is a subset of some Hilbert space , and is another Hilbert space, and : f: U \rightarrow H_2 is a Lipschitz-continuous map, then there is a Lipschitz-continuous map :F: H_1 \rightarrow H_2 that extends and has the same Lipschitz constant as . Note that this result in particular applies to Euclidean spaces and , and it was in this form that Kirszbraun originally formulated and proved the theorem. The version for Hilbert spaces can for example be found in (Schwartz 1969, p. 21). If is a separable space (in particular, if it is a Euclidean space) the result is true in Zermelo–Fraenkel set theory; for the fully general case, it appears to need some form of the axiom of choice; the Boolean prime ideal theorem is known to be sufficient. The proof of the theorem uses geometric features of Hilbert spaces; the corresponding statement for Banach spaces is not true i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Adolf Lindenbaum
Adolf Lindenbaum (12 June 1904 – August 1941) was a Polish-Jewish logician and mathematician best known for Lindenbaum's lemma and Lindenbaum–Tarski algebras. Life He was born and brought up in Warsaw. He earned a Ph.D. in 1928 under Wacław Sierpiński and habilitated at the University of Warsaw in 1934. He published works on mathematical logic, set theory, cardinal and ordinal arithmetic, the axiom of choice, the continuum hypothesis, theory of functions, measure theory, point-set topology, geometry and real analysis. He served as an assistant professor at the University of Warsaw from 1935 until the outbreak of war in September 1939. He was Alfred Tarski's closest collaborator of the inter-war period. Around the end of October or beginning of November 1935 he married Janina Hosiasson, a fellow logician of the Lwow–Warsaw school. He and his wife were adherents of logical empiricism, participated in and contributed to the international unity of science move ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Warsaw University
The University of Warsaw (, ) is a public research university in Warsaw, Poland. Established on November 19, 1816, it is the largest institution of higher learning in the country, offering 37 different fields of study as well as 100 specializations in humanities, technical, and natural sciences. The University of Warsaw consists of 126 buildings and educational complexes with over 18 faculties: biology, chemistry, medicine, journalism, political science, philosophy, sociology, physics, geography, regional studies, geology, history, applied linguistics, philology, Polish language, pedagogy, economics, law, public administration, psychology, applied social sciences, management, mathematics, computer science, and mechanics. Among the university's notable alumni are heads of state, prime ministers, Nobel Prize laureates, including Sir Joseph Rotblat and Olga Tokarczuk, as well as several historically important individuals in their respective fields, such as Frédéric Chopin, Hil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edward Marczewski
Edward Marczewski (15 November 1907 – 17 October 1976) was a Polish mathematician. He was born Szpilrajn but changed his name while hiding from Nazi persecution. Marczewski was a member of the Warsaw School of Mathematics. His life and work after the Second World War were connected with Wrocław, where he was among the creators of the Polish scientific centre. He worked at the State Institute of Mathematics, which was incorporated into the Polish Academy of Sciences in 1952. Marczewski's main fields of interest were measure theory, descriptive set theory, general topology, probability theory and universal algebra. He also published papers on real and complex analysis, applied mathematics and mathematical logic. Marczewski proved that the topological dimension, for arbitrary metrisable separable space ''X'', coincides with the Hausdorff dimension under one of the metrics in ''X'' which induce the given topology of ''X'' (while otherwise the Hausdorff dimension is always greater ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polski Słownik Biograficzny
''Polski Słownik Biograficzny'' (''PSB''; Polish Biographical Dictionary) is a Polish-language biographical dictionary, comprising an alphabetically arranged compilation of authoritative biographies of some 25,000 notable Poles and of foreigners who have been active in Poland – famous as well as less-well-known persons – from Popiel, Piast Kołodziej, and Mieszko I, at the dawn of Polish history, to persons who died in the year 2000. The ''Dictionary'', published incrementally since 1935, is a work in progress. It currently covers entries from A to S and its completion is expected about 2030. The PSB is, by its own assessment, "at present... one of the world's leading biographical publications." Outside Poland, it is available at the British Library, the Library of Congress, the Vatican Library, the Hoover Institution on War, Revolution and Peace, the University of California at Berkeley, Stanford University, the Getty Museum, and many other national and major research li ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polish Jews Who Died In The Holocaust
Polish may refer to: * Anything from or related to Poland, a country in Europe * Polish language * Polish people, people from Poland or of Polish descent * Polish chicken * Polish brothers (Mark Polish and Michael Polish, born 1970), American twin screenwriters * Kevin Polish, an American Paralympian archer Polish may refer to: * Polishing, the process of creating a smooth and shiny surface by rubbing or chemical action ** French polishing, polishing wood to a high gloss finish * Nail polish * Shoe polish * Polish (screenwriting), improving a script in smaller ways than in a rewrite See also * * * Polishchuk (surname) * Polonaise (other) A polonaise ()) is a stately dance of Polish origin or a piece of music for this dance. Polonaise may also refer to: * Polonaises (Chopin), compositions by Frédéric Chopin ** Polonaise in A-flat major, Op. 53 (, ''Heroic Polonaise''; ) * Polon ... {{Disambiguation, surname Language and nationality disambiguation pages ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1942 Deaths
The Uppsala Conflict Data Program project estimates this to be the deadliest year in human history in terms of conflict deaths, placing the death toll at 4.62 million. However, the Correlates of War estimates that the prior year, 1941, was the deadliest such year. Death toll estimates for both 1941 and 1942 range from 2.28 to 7.71 million each. Events Below, the events of World War II have the "WWII" prefix. January * January 1 – WWII: The Declaration by United Nations is signed by China, the United Kingdom, the United States, the Soviet Union, and 22 other nations, in which they agree "not to make any separate peace with the Axis powers". * January 5 – WWII: Two prisoners, British officer Airey Neave and Dutch officer Anthony Luteyn, escape from Colditz Castle in Germany. After travelling for three days, they reach the Swiss border. * January 7 – WWII: ** Battle of Slim River: Japanese forces of the 5th Division, supported by tanks, sweep through ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
